Algebra 2 Chapter 5

Factoring

100

Factor the Polynomial

x^2-9x+8

(x-1)(x-8)

200

Factor the polynomial completely

2x^5-2x^3-24x

2x(x-4)(x+3)

300

Factor the polynomial by synthetic substitution: given (x+6) is a factor

y^3+6y^2-3y-18

(x+6)(x^2-3)

Graphing

100

Graph the polynomial:

y=x^2+3

200

Graph 

y=3(x-1)(x+2)(x+1)

Performing Operations

100

What is the value of the polynomial when x=5? Use Synthetic AND regular substitution to show. 

f(x)=x^2-4x-10

f(5)=-5

200

Simplify:

(\frac{3x^3y^2}{9xy})^2

\frac{x^4y^2}{9}

300

Divide the polynomial using synthetic division:

(x^3+2x^2-10)\div(x-4)

(x^2+6x+24+\frac{86}{x-4})